Gromov-Wasserstein Graph Coarsening

arXiv — cs.LGThursday, November 13, 2025 at 5:00:00 AM
The recent study on Gromov-Wasserstein graph coarsening presents two innovative algorithms, Greedy Pair Coarsening (GPC) and k-means Greedy Pair Coarsening (KGPC), which focus on minimizing distortion during node merging. GPC operates by iteratively merging pairs of nodes that reduce distortion, while KGPC employs clustering based on pairwise distortion metrics. The methods were validated on six large-scale datasets, demonstrating their effectiveness in outperforming existing approaches across various parameters and scenarios. This research not only provides conditions for optimal coarsening but also enhances the efficiency of data analysis and clustering tasks, marking a significant step forward in the field of graph theory and machine learning.
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